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Finding the Fourth Proportional to 277,857.69, 383,444.01 and 150,533.28

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Solution

The fourth proportional to 277,857.69, 383,444.01 and 150,533.28 is: 207,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,857.69 : 383,444.01 = 150,533.28 : x
  2. Step 2: Convert to fraction form
    277,857.69/383,444.01 = 150,533.28/x
  3. Step 3: Cross multiply
    277,857.69x = 383,444.01 × 150,533.28
  4. Step 4: Simplify right side
    277,857.69x = 57,721,084,521.65
  5. Step 5: Solve for x
    x = 57,721,084,521.65/277,857.69
  6. Step 6: Final answer
    x = 207,736.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.